On Iα - Open Set in Ideal Topological Spaces

  • A. E. Radwan Department of mathematics, Faculty of Science, Ain Shams University, Egypt. Current address: Department of mathematics, Faculty of Science and Arts(UNAIZAH) Alqassim University, Saudi Arabia
  • A. A. Abd- Elgawad Department of mathematics, Faculty of Science, Suze Canal University, Egypt
  • Hanan Zaky Hassan Department of mathematics, Faculty of Science, Suze Canal University, Egypt
Keywords: I - open set, space, I -N - space and I - compact space.

Abstract

The aim of this paper is to study separation axioms and compactness of Iα- open set in ideal topological spaces, which was introduced by M.E. Abd El-Monsef, etc [1].

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References

M. E. Abd El-Monsef, A. E. Radwan and A. I. Nasir, Some generalized forms of compactness in ideal topological spaces, Archives Des Sciences, Vol.66, no.3, Mar 2013,334-342.

D. Jankovic, T. R. Hamlett, New topologies from old via ideals, Amer, Math, Monthly, 97(1990), 259-310.

K. Kuratowski, Topology, Vol 1, New York: Academic Press, (1933).

A. A. Nasef, Ideals in general topology, Ph.D, Thesis, Tanta University, (1992).

O.Njastad, On some classes of nearly open sets, Pacific J, Math. 15(1965), 961-970.

A. E. Radwan, A. A. Abd- Elgawad and H. Z. Hassan, On Iα- connected spaces via ideal, Journal of Advances in Mathematics.(2015),3006-3014

V.Vaidyanathaswamy, The localization theory in set topology, Pro. Indian Acad. Sci, 20(1945),51-61.

Published
2015-12-27
How to Cite
Radwan, A. E., Abd- Elgawad, A. A., & Hassan, H. (2015). On Iα - Open Set in Ideal Topological Spaces. Journal of Progressive Research in Mathematics, 6(2), 753-760. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/451
Section
Articles